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Finding the Third Proportional to 64,181.25 and 143,119.69

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Solution

The third proportional to 64,181.25 and 143,119.69 is: 319,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,181.25 : 143,119.69 = 143,119.69 : x
  2. Step 2: Convert to fraction form
    64,181.25/143,119.69 = 143,119.69/x
  3. Step 3: Cross multiply
    64,181.25x = 143,119.69 × 143,119.69
  4. Step 4: Simplify right side
    64,181.25x = 20,483,244,950.10
  5. Step 5: Solve for x
    x = 20,483,244,950.10/64,181.25
  6. Step 6: Final answer
    x = 319,146.87

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.